Answer :
To find what percent is equivalent to the fraction [tex]\(\frac{2}{3}\)[/tex], you can follow these steps:
1. Understand the fraction: The fraction [tex]\(\frac{2}{3}\)[/tex] means 2 divided by 3.
2. Convert to a decimal: Divide 2 by 3. This gives you approximately 0.666666...
3. Convert the decimal to a percent: To convert a decimal to a percent, multiply by 100. So, 0.666666... multiplied by 100 gives you 66.6666...
4. Express as a percentage: 66.6666...% is equivalent to 66 and [tex]\(\frac{2}{3}\)[/tex]% because the repeating decimal 0.6666... is equivalent to [tex]\(\frac{2}{3}\)[/tex] when expressed as a fraction.
Therefore, [tex]\(\frac{2}{3}\)[/tex] is equivalent to [tex]\(66 \frac{2}{3}\%\)[/tex].
1. Understand the fraction: The fraction [tex]\(\frac{2}{3}\)[/tex] means 2 divided by 3.
2. Convert to a decimal: Divide 2 by 3. This gives you approximately 0.666666...
3. Convert the decimal to a percent: To convert a decimal to a percent, multiply by 100. So, 0.666666... multiplied by 100 gives you 66.6666...
4. Express as a percentage: 66.6666...% is equivalent to 66 and [tex]\(\frac{2}{3}\)[/tex]% because the repeating decimal 0.6666... is equivalent to [tex]\(\frac{2}{3}\)[/tex] when expressed as a fraction.
Therefore, [tex]\(\frac{2}{3}\)[/tex] is equivalent to [tex]\(66 \frac{2}{3}\%\)[/tex].
